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Income Taxes - Tax (Benefit) Expense (Details) - USD ($)
$ in Thousands
 12 Months Ended
Sep. 30, 2024
Sep. 30, 2023
Sep. 30, 2022
Income Taxes      
Income from domestic operations before income tax expense $ 233,000 $ 129,200 $ 235,200
Income from foreign operations before income tax expense 485,200 342,600 315,400
Current:      
Federal 15,100 67,700 22,800
State (78,600) 71,900 16,000
Foreign 63,500 52,800 75,800
Total current income tax expense   192,400 114,600
Deferred:      
Federal 45,200 (71,800) 22,100
State 68,100 (84,300) 11,800
Foreign 39,600 19,800 (12,400)
Total deferred income tax expense (benefit) 152,900 (136,300) 21,500
Total income tax expense $ 152,900 $ 56,052 $ 136,051